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Finding the Fourth Proportional to 9,926.56, 13,696.08 and 5,944.87

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Solution

The fourth proportional to 9,926.56, 13,696.08 and 5,944.87 is: 8,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.56 : 13,696.08 = 5,944.87 : x
  2. Step 2: Convert to fraction form
    9,926.56/13,696.08 = 5,944.87/x
  3. Step 3: Cross multiply
    9,926.56x = 13,696.08 × 5,944.87
  4. Step 4: Simplify right side
    9,926.56x = 81,421,346.63
  5. Step 5: Solve for x
    x = 81,421,346.63/9,926.56
  6. Step 6: Final answer
    x = 8,202.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.